What is the Least Common Multiple of 70896 and 70914?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least Common Multiple of 70896 and 70914 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70896 and 70914, than apply into the LCM equation.

GCF(70896,70914) = 6
LCM(70896,70914) = ( 70896 × 70914) / 6
LCM(70896,70914) = 5027518944 / 6
LCM(70896,70914) = 837919824

Least Common Multiple (LCM) of 70896 and 70914 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70896 and 70914. First we will calculate the prime factors of 70896 and 70914.

Prime Factorization of 70896

Prime Factorization of 70914

Now multiplying the highest exponent prime factors to calculate the LCM of 70896 and 70914.

LCM(70896,70914) = 2⁴ × 3¹ × 7¹ × 211¹ × 53¹ × 223¹
LCM(70896,70914) = 837919824